Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064i |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-3530060704512 = -1 · 28 · 315 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,703,89877] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1422:1] |
Generators of the group modulo torsion |
j |
155958272/14348907 |
j-invariant |
L |
5.2781439670637 |
L(r)(E,1)/r! |
Ω |
0.60548398392122 |
Real period |
R |
4.3586156754152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46128l1 69192n1 23064k1 |
Quadratic twists by: -4 -3 -31 |